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Finding the Fourth Proportional to 9,581.22, 14,388.18 and 5,207.22

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Solution

The fourth proportional to 9,581.22, 14,388.18 and 5,207.22 is: 7,819.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,581.22 : 14,388.18 = 5,207.22 : x
  2. Step 2: Convert to fraction form
    9,581.22/14,388.18 = 5,207.22/x
  3. Step 3: Cross multiply
    9,581.22x = 14,388.18 × 5,207.22
  4. Step 4: Simplify right side
    9,581.22x = 74,922,418.66
  5. Step 5: Solve for x
    x = 74,922,418.66/9,581.22
  6. Step 6: Final answer
    x = 7,819.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.